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Formulas
Area ( A ) and Circumference ( C )
Name Shape Formula Rectangle (^) A = lw
Parallelogram A = bh
Triangle (^1) 2
A = bh
Trapezoid
A = b + b h
Circle (^) A =π r^2 C 2 r C d
Formulas for Right Triangles
Shape Formula Pythagorean Theorem a^2 + b^2 = c^2 Trigonometric Ratios
sin
a c
θ = cos
b c
θ = tan
a b
Special Right Triangles
30°–60°–90° 45°–45°–90°
Volume ( V ) and Surface Area ( SA )
Name Shape Formula Right Rectangular Prism
V = lwh
SA = 2 lw + 2 hw + 2 lh General Prism
V = Bh
SA = Sum of the areas of the faces
Right Circular Cylinder
V =π r h^2
SA = 2 π r^2 + 2 π rh
Right Circular Cone
(^12) 3
V = π r h
SA = π r^2 + π r Right Pyramid
1 3
V = Bh
1 2
SA = B + P
Sphere (^43) 3
V = π r
SA = 4 π r^2
Polygon Angle Formulas Interior Angle Formulas Sum of the Interior Angles of a polygon with n
sides = 180 ° ( n − 2 )
Measure of an interior angle of an n-sided regular
polygon =
180 ( n 2 )
n
w l
h
b
h
b b 2 h
b 1
r d
a c
b
x
2 x
x 3
60 °
30 °
x
45 °
45 ° x
x 2
l
h w
B
h
B
h
r h
l
r
h
h^ l B
r
Algebra 1 Reference Cheat Sheet
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Formulas
Equations of a Line Standard Form: A x + B y = C where A and B are not both zero
Slope-Intercept Form: y = mx + b where m = slope and b = y -intercept
Point-Slope Form: y − y 1 (^) = m x ( − x 1 ) where m = slope and (^) ( x 1 (^) , y 1 (^) ) is a point on the line
Coordinate Geometry Formulas Let (^) ( x 1 (^) , y 1 (^) ) and (^) ( x 2 (^) , y (^) 2 ) be two coordinate pairs
slope = 2 1 2 1
y y x x
where x (^) 2 ≠ x 1
midpoint = 1 2 ,^1 2 2
^ x^ +^ x^ y^ + y
distance = (^) ( ) ( )
2 2 x 2 (^) − x 1 (^) + y (^) 2 − y 1
Arithmetic Sequence Geometric Sequence Geometric Series
an = a 1 (^) + (^) ( n − (^1) ) d an = a r 1 n −^11 1
n n
a a r S r
where r ≠ 1
Quadratic Formula Distance Traveled Arc Length (^2 )
2
b b ac x a
= d^ = rt
S = r θ
(where θ is in radians)
Simple Interest Compound Interest Continuously Compounded Interest
I = prt = ^ +
nt r A P n
A = Pert
Conversions
Angle Measurements Weights
1 Radian =
Degrees
1 Degree =
Radians
1 pound = 16 ounces 1 pound = 0.454 kilograms 1 ton = 2000 pounds 1 kilogram = 2.2 pounds Distances Volumes 1 mile = 5280 feet 1 mile = 1760 yards 1 mile = 1.609 kilometers
1 kilometer = 0.62 mile 1 meter = 39.37 inches 1 inch = 2.54 centimeters
1 cup = 8 fluid ounces 1 gallon = 4 quarts 1 pint = 2 cups 1 gallon = 3.785 liters 1 quart = 2 pints 1 liter = 0.264 gallons 1 liter = 1000 cubic centimeters
